PreprintarXiv licencearXiv
Threshold Tails of Black hole Differential Observables
Abstract
We study how first-order differential observables affect the zero-frequency behavior of black-hole wave equations. Quasinormal modes and late-time tails do not always change in the same way. We give a simple condition for when an observable removes the leading threshold term of a Green function. For Schwarzschild Regge-Wheeler modes, the relevant operator is determined by the regular static solution. The transformation is nondegenerate at nonzero frequency but becomes globally degenerate at zero frequency. As a result, the nonzero quasinormal-mode problem is unchanged, while the leading fixed-radius late-time tail gains one extra inverse power of time.
Related
- Spectral Invariance for Black-Hole Differential Observables
- Quantifying Behavioral Tails in Black-Box Language Models
- Gaussian fluctuations of differential observables of stationary lattice fields
- Well-posedness of Rough Differential Equations at the Krylov-Röckner Integrability Threshold
- Asymptotic expansion of cavity Quasi-Normal Modes in Schwarzschild de-Sitter black hole
BibTeX
@misc{subhash2026threshold,
title = {{Threshold Tails of Black hole Differential Observables}},
author = {Vedant Subhash},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36650},
eprint = {2609.36650},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36650},
}
RIS
TY - UNPB
TI - Threshold Tails of Black hole Differential Observables
AU - Vedant Subhash
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.36650
UR - https://arxiv.org/abs/2609.36650
AB - We study how first-order differential observables affect the zero-frequency behavior of black-hole wave equations. Quasinormal modes and late-time tails do not always change in the same way. We give a simple condition for when an observable removes the leading threshold term of a Green function. For Schwarzschild Regge-Wheeler modes, the relevant operator is determined by the regular static solution. The transformation is nondegenerate at nonzero frequency but becomes globally degenerate at zero frequency. As a result, the nonzero quasinormal-mode problem is unchanged, while the leading fixed-radius late-time tail gains one extra inverse power of time.
ER -